Lens Antenna, Method for Manufacturing and Using such an Antenna, and Antenna System

ABSTRACT

The invention relates to a lens antenna. The invention also relates to an antenna system for transmitting and receiving electromagnetic signals comprising at least one antenna according to the invention. The invention further relates to a method of manufacturing an antenna according to the invention. The invention moreover relates to a method for use in wireless communications by using an antenna according to the invention. The invention additionally relates to a RF transceiver of a wireless communications device comprising at least one antenna according to the invention. The invention further relates to an electronic device comprising an RF transceiver according to the invention.

INTRODUCTION

The invention relates to a lens antenna. The invention also relates to an antenna system for transmitting and receiving electromagnetic signals comprising at least one antenna according to the invention. The invention further relates to a method of manufacturing an antenna according to the invention. The invention moreover relates to a method for use in wireless communications by using an antenna according to the invention. The invention additionally relates to an RF transceiver of a wireless communications device comprising at least one antenna according to the invention. The invention further relates to an electronic device comprising an RF transceiver according to the invention.

The present invention improves upon the subject matter disclosed in U.S. Pat. No. 7,620,527 issued on Nov. 17, 2009 to a present inventor, Johan Gielis, the entire contents of which patent is incorporated herein by reference as though recited herein in full. In addition, the present invention also incorporates by reference the entire disclosure of U.S. Provisional Application No. 61/356,836 entitled Computer Implemented Tool Box to Johan Gielis, filed on Jun. 21, 2010, the entire contents of which is incorporated herein by reference as though recited herein in full. Furthermore, the present application also incorporates by reference the entire disclosure of U.S. patent application Ser. No. 13/165,240 entitled Computer Implemented Tool Box to Johan Gielis, filed on Jun. 22, 2011, the entire contents of which is incorporated herein by reference as though recited herein in full.

The '527 patent describes systems and methods by which patterns (e.g., such as images, waveforms such as sounds, electromagnetic waves, or other signals, etc.) are synthesized, modulated and/or analyzed through the use of a computer programmed with a novel mathematical formula. The formula can be used to create a variety of shapes, waveforms, and other representations. The formula greatly enhances ability in computer operations and provides a great savings in computer memory and a substantial increase in computing power.

The geometric concept of the '527 patent is useful for modeling and for explaining why certain natural shapes and forms grow as they do. As explained in the '527 patent, the inventor therein found that most geometrical forms and regular shapes, including circles and polygons, can be described as special realizations of the following formula:

${\rho_{d}(\phi)} = \frac{1}{\sqrt[n_{1}]{{{\frac{1}{a}\cos \frac{m_{1}}{4}\phi}}^{n_{2}} + {/{- {{\frac{1}{b}\sin \frac{m_{2}}{4}\phi}}^{n_{3}}}}}}$ a, b ∈ ℝ⁺; m_(1,)m₂, n₁, n₂, n₃ ∈ ℝ, a, b, n₁ ≠ 0

The '527 patent explains how this formula and representations thereof can be utilized, for example, in both the “synthesis” and “analysis” of patterns (i.e., including for example image patterns and waveforms such as electromagnetic (e.g., electricity, light, etc.), sound and other waveforms or signal patterns) and the like.

In order to synthesize various patterns, the parameters in this equation can be modified so that a variety of patterns can be synthesized. Notably, the parameters appearing in the equations above can be moderated. By moderating or modulating the number of rotational symmetries (m), exponents (n₁-n₃), and/or short and long axes (a, b), a wide variety of natural, human-made and abstract shapes can be created in two and three-dimensional space.

In FIG. 1 of the '527 patent a schematic diagram is shown showing various components that can be included in various embodiments for the synthesis of patterns and/or for the analysis of patterns with the super-formula operator. As described in the '527 patent, according to the first aspect, for illustrative purposes with reference to said FIG. 1, shapes or waves can be “synthesized” by the application of the following exemplary basic steps: In a first step, a choice of parameters is made (e.g., by either inputting values into the computer 10, i.e., via a keyboard 20, a touch screen, a mouse-pointer, a voice recognition device or other input device or the like, or by having the computer 10 designate values), and the computer 10 is used to synthesize a selected super-shape based on the choice of parameters. In a second optional step, the super-formula can be used to adapt the selected shapes, to calculate optimization, etc. This step can include use of: graphics programs (e.g., 2D, 3D, etc.); CAD software; finite element analysis programs; wave generation programs; or other software. In a third step, the output from the first or second step is used to transform the computerized super-shapes into a physical form, such as via: (a) displaying the super-shapes 31 on a monitor 30, printing the super-shapes 51 upon stock material 52 such as paper from a printer 50 (2-D or 3-D); (b) performing computer aided manufacturing (e.g., by controlling an external device 60, such as machinery, robots, etc., based on the output of step three); (c) generating sound 71 via a speaker system 70 or the like; (d) performing stereo lithography; (e) performing rapid prototyping; and/or (f) utilizing the output in another manner known in the art for transforming such shapes.

The '527 patent discusses both synthesis (such as, e.g., creation of shapes) and analysis (such as, e.g., the analysis of shapes). With respect to analysis, the '527 patent explains that: “In general, although not limited thereto, shapes or waves can be “analyzed” by the application of the following basic steps (these steps have similarities to the foregoing steps in synthesis in reverse): In a first step, a pattern can be scanned or input into a computer (e.g., in a digital form). For example, an image of an object can be scanned (2-D or 3-D), a microphone can receive sound waves, or electrical signals (e.g., waves) can be input, data from a computer readable medium such as, e.g., a CD-ROM, a diskette, an internal or external flash drive, etc., can be input, data can be received on-line, such as via the Internet or an Intranet, etc. Various other known input techniques could be used, such as, for example, using digital or other cameras (e.g., whether single picture or continuous real time, etc.), etc. [FIG. 1] illustrates examples wherein an image scanner 100 (e.g., a document scanner utilized to scan images on stock material such as paper or photographs, or another scanner device) and/or a recorder 200 (e.g., which receives waveforms via a microphone or the like) are utilized in conjunction with the computer 10. In a second step, the image is analyzed to determine parameter values, etc., of the super-formula. In this step, the analyzed signals could also be identified, categorized, compared, etc. In some computer analysis cases, the computer can include a library or catalogue (e.g., stored in a memory) of primitives (e.g., categorizing assorted supershapes by parameter values). In such latter cases, the computer can then be used to approximate, identify, classify and/or the like the supershapes based on the information in the library or catalogue. The catalogue of primitives could be used, for example, for the first approximation of patterns or shapes. In a third optional step, the analyzed signals can be moderated as desired (e.g., operations can be performed similar to that described above with reference to the second general phase or step of synthesis). In a fourth step, an output can be created. The output can include: (a) providing a visual (e.g., displayed or printed) or an audible (e.g., sound) output; (b) controlling the operation of a particular device (e.g., if certain conditions are determined); (c) providing an indication related to the analyzed pattern (e.g., identifying it, classifying it, identifying a preferred or optimal configuration, identifying a defect or abnormality, etc.); (d) creating another form of output or result as would be apparent to those in the art. In the analysis, after the pattern is digitized, the computer proceeds using a certain type of representation. If it is a chemistry pattern, the XY graph should be selected. If it is a closed shape, a modified Fourier analysis should be selected. The computer should be adapted (e.g., via software) to provide an estimation of the right parameters for the equation to represent the digitized pattern.

Although the '527 patent sets forth noteworthy advances in technology, over the last decade, the present inventors have surprisingly discovered some noteworthy advances and improvements which are the subject matter of the present application.

An object of some embodiments of the invention is to find a class of products in which the above technology is implemented in a beneficiary manner.

In the preferred embodiments of the invention, improved lens antennas for a wide class of wireless applications (including Wi-Fi networks) are invented. This improved lens antenna comprises: at least one electromagnetic lens, at least one ground plane connected to said lens, and at least one probing structure connected to said lens, wherein at least one of the at least one electromagnetic lens and the at least one ground plane having at least one base profile is substantially supershaped, wherein said supershaped base profile is defined by the polar function:

${\rho_{d}(\phi)} = \frac{1}{\sqrt[n_{1}]{{{\frac{1}{a}\cos \frac{m_{1}}{4}\phi}}^{n_{2}} + {/{- {{\frac{1}{b}\sin \frac{m_{2}}{4}\phi}}^{n_{3}}}}}}$ a, b ∈ ℝ⁺; m_(1,)m₂, n₁, n₂, n₃ ∈ ℝ, a, b, n₁ ≠ 0

and wherein:

-   -   ρ_(d)(φ) is a curve located in the XY-plane; and     -   φ∈[0, 2π) is the angular coordinate.

Despite of the fact that the proposed antennas are extremely simple to construct, easily machinable and thus cheap, they surprisingly considerably outperform antennas currently used in wireless communications in terms of operational bandwidth, maximum gain, and radiation pattern agility. Furthermore, the considered antennas use sustainable technology and are ecologically friendly. In particular, the geometry of a base profile of the lens and/or ground plane is defined by the polar equation known in the scientific literature as superformula (or Gielis' formula) and its generalization to three-dimensional spaces. The superformula is explained in detail in the above-noted U.S. Pat. No. 7,620,527 to J. Gielis, the entire disclosure of which is incorporated herein by reference. Such equation provides the capability for unified description of natural and abstract shapes ranging from elementary particles to complex generalized Lame curves. The invented antenna allows an increased number of degrees of freedom for the design, paving the way towards a wide variety of radiating structures and sensors with tunable electromagnetic characteristics.

Pioneering investigations on dielectric lens antennas date back to last decades of 20th century. Since then, several research groups have been active in this area and have made remarkable advances. From the very beginning, dielectric lens antennas have been found advantageous in reason of their high radiation efficiency and ease of integration with planar circuitry. Many new structures with attractive characteristics for different applications have been proposed but, even after so many developments, practical designs and implementations of lens antennas are still challenging in many cases. In recent years, more focus has been given to enhance antenna bandwidth and gain which are more relevant to the requirements of modern wireless applications. The ubiquitous nature of current and future wireless communication systems continuously raises the demand for accurate design of enhanced access points and user terminals. In particular, the antennas, used as the most front-end devices, are becoming more important in terms of satisfying challenging requirements, such as miniaturized size, improved radiation and bandwidth performances and ease of fabrication and integration. Traditionally, printed circuit (microstrip) or metallic rods (monopole) have been commonly used. However, such radiating typically features poor performance in terms of fractional bandwidths and radiation properties. In this context, the proposed supershaped lens antennas provide clear advantages in reason of their reduced losses (virtually no metal loss), high radiation efficiency and ease of integration with planar circuitry. Furthermore, they offer a high degree of flexibility and versatility over a wide frequency range, allowing for the designer to suit various requirements. Numerical investigations and measurements performed on an experimental prototype complying to the upcoming WiMedia standard confirm that the considered antennas are able to operate over very wide frequency bands (exceeding 70%) while maintaining stable radiation patterns and gain values. On the basis of the achieved results, we can conclude that the proposed antennas can find application as access points for indoor multimedia radio systems, and wherever broad, smooth and stable-over-frequency radiation patterns are desirable, this being particularly important in the emerging low-cost applications of radar, wireless and satellite technology.

In fact, every lens antenna comprises a lens and/or ground plane having a three-dimensional shape. It can be favourable that multiple base profiles of the lens and/or ground plane are substantially supershaped, wherein each supershaped base profile is defined by the polar function (superformula) according to claim 1. In this manner three-dimensional a supershaped lens and/or supershaped ground plane will be created, which will commonly be in favour of the power distribution pattern and intensity of the lens antenna as such. In these three-dimensional supershaped component, commonly firstly a first base profile is defined according to the superformula according to claim 1, and at least one further base profile is defined according to the superformula according to claim 1. Both base profiles commonly define a cross-section of the final supershape, o—in other words—the first base profile defines a profile while the other base profile defines a path along which this first base profile is rotated. Hence, the three-dimensional shape can be the result of a superposition of multiple two-dimensional shapes. For example, square base profile combined with a triangular base profile leads to a pyramid shape, while a teardrop shaped base profile combined with a rectangular base profile leads to a wing shape. In this manner, an infinite number of three-dimensional supershapes can be created. The three-dimensional shape can also be the result of combining outer surface faces, each face complying with the superformula according to claim 1. For example, a dodecaeder has pentagon shaped faces, wherein each pentagon complies with the two-dimensional superformula according to claim 1. The same applies, for example, to a icosaeder, wherein each distinctive face is defined by a triangle complying with the superformula.

The parametric representation of the three-dimensional shape of the lens and/or ground plane is based on two perpendicular cross sections ρ₁(σ) and ρ₂(φ):

$\begin{bmatrix} {x = {{\rho_{1}(\vartheta)}\cos \; {\vartheta \cdot {\rho_{2}(\phi)}}\cos \; \phi}} \\ {y = {{{\rho_{1}(\vartheta)} \cdot {\rho_{2}(\phi)}}\cos \; \phi}} \\ {z = {{\rho_{2}(\phi)}\sin \; \phi}} \end{bmatrix}\quad$

wherein:

-   -   ρ is defined by the function presented in claims 1,     -   0≦σ≦2π, and     -   ½π≦φ≦½π.

Written as a polar function, the three-dimensional shape of the lens and/or the ground plane can also be defined as:

${\rho_{d}\left( {\phi,\vartheta} \right)} = \frac{1}{\sqrt[l_{1}]{{{\frac{1}{c}\cos \frac{m_{1}}{4}\phi}}^{l_{2}} + {/{- {{\frac{1}{d}\sin \frac{m_{2}}{4}\phi}}^{l_{3}}}}}}$

wherein:

$c = \frac{1}{\sqrt[n_{1}]{{{\frac{1}{a}\cos \frac{m_{3}}{4}\vartheta}}^{n_{2}} + {/{- {{\frac{1}{b}\sin \frac{m_{4}}{4}\vartheta}}^{n_{3}}}}}}$

and wherein:

-   -   a, b, c, d>0; a, b, c, d, l₁, l₂, l₃, m₁, m₂, m₃, m₄, n₁, n₂,         n₃)∈         and n₁, l₁≠0     -   0≦θ≦2π, and     -   −½π≦φ≦½π.

The above polar function can be rewritten in spherical coordinates as:

${\rho_{d}\left( {\vartheta,\phi} \right)} = \left( {{\frac{\sin \frac{p\; \vartheta}{2}\cos \frac{q\; \phi}{4}}{\gamma_{1}}}^{v_{1}} + {\frac{\sin \frac{p\; \vartheta}{2}\sin \frac{q\; \phi}{4}}{\gamma_{2}}}^{v_{2}} + {\frac{\cos \frac{p\; \vartheta}{2}}{\gamma_{3}}}^{v_{2}}} \right)^{- \frac{1}{v_{0}}}$

wherein:

-   -   p and q are symmetry parameters;     -   γ₁, γ₂, γ₃ are analogous to the parameters a and b as identified         above;     -   v₀, v₁, v₂, v₃ are analogues to the parameters n₀, n_(x), n_(y)         (or n₀, n₁, n₂)     -   (p, q, v₁, v₂, V₃)∈         ;     -   (γ₁, γ₂, γ₃, v₀)≧0;     -   0≦θ≦90; and     -   0≦φ≦2π.

Preferably, the design of a supershaped lens antenna, in particular a dielectric resonator antenna (SDRA), is carried out by assimilating it to an ordinary cylindrical dielectric resonator antenna. First, the lens base effective radius is defined as:

$\rho_{e} = \sqrt{\frac{1}{2\; \pi}{\int_{0}^{2\; \pi}{{\rho_{d}^{2}(\phi)}{\phi}}}}$

where ρ_(d)(φ) is given by the Gielis' equation:

${\rho_{d}(\phi)} = \left( {{{\frac{1}{a}\cos \frac{\; m_{1}}{4}\phi}}^{n_{2}} + {/{- {{\frac{1}{b}\sin \; \frac{m_{2}}{4}\phi}}^{n_{3}}}}} \right)^{- \frac{1}{n_{1}}}$

which describes a base profile of the lens, in particular of the lens base. On the other hand, the lens height (h_(d)) is chosen to be about a wavelength in the dielectric material at the central operating frequency of the antenna (f_(c)), that is:

$h_{d} \simeq \frac{\rho_{ɛ}}{f_{c}\sqrt{\varepsilon_{\tau}}}$

with c₀ being the speed of light in vacuum, and where Er denotes the relative permittivity of the material forming the lens. In order to achieve wide frequency bands of operation, the cross-sectional dimensions of the lens are set so that the following aspect ratio is obtained:

$\begin{matrix} {\chi = \frac{\rho_{ɛ}}{h_{d}}} \\ {= 0.4} \end{matrix}$

The location and the length of the probe are heuristically determined by full-wave analysis.

In a preferred embodiment the electromagnetic lens, in particular formed by the ground surface or bottom surface of the lens (commonly parallel to the ground plane), and/or the ground plane has at least one base profile, which is substantially supershaped, wherein m≧4. This parameter condition leads to unconventional symmetric shape of the lens including sharp edges which results in a more symmetric spatial power density distribution if compared to the case of a cylindrically shaped lens (m=0). In this manner, electromagnetic radiation can be radiated in multiple focused directions. The presence of sharp edges does necessarily not reduce the radiation efficiency of the preferred antenna. A further preferred boundary condition is that a b, and preferably that at least one value of n_(x), n_(y), and n₀ deviates from 2. Also these boundary conditions lead to unconventionally shaped lens. The above also applies to the ground plane.

The ground plane can either be flat or non-planar, such as curved and/or angulated. In some embodiments, both the lens and the ground plane, together forming a so-called transducer, have a base profile which complies to the superformula as stated above. It is also contemplated that in some embodiments that the ground plane and the lens have equivalent shapes, or base profiles with an equivalent shape. However, in some embodiments that the shape of the ground plane can be completely different from the shape of the lens, provided that at least one base profile of at least one of the ground plane and the lens complies with the superformula as formulated in claim 1.

Preferably, the substantially supershaped base profile is a base profile of the lens which extends in a direction which is substantially parallel to a plane defined by the ground plane. This will commonly lead to an axis of symmetry of the lens which is oriented perpendicular to a (central) plane defined by the ground plane which is in favour of the spatial power density distribution. This embodiment allows the application of a lens having the (unconventional) shape of a polyhedron, such as a prism, wherein an n-sided polygonal base of the polyhedron is directed towards and eventually mounted onto the ground plane.

The antenna according to the invention can be used to receive and/or to transmit electromagnetic radiation. The functionality of the probing structure therefore depends on the desired functionality of the antenna. It is thus thinkable that the probing structure is configured to receive and/or to transmit electromagnetic radiation. Commonly, the probing structure comprises at least one probe. The geometry, including the shape and dimensioning, of the probe is commonly completely dependent on the specific purpose and application of the antenna. Different types of probes can be used. A well known probe is a coaxially fed probe, which probe is at least partially accommodated within the lens, wherein the probe is thus at least partially surrounded by the lens. To this end, the lens is commonly provided with an accommodating space for accommodating the probe at least partially. The probe can also be formed by a waveguide which does not extend into the lens and merely connects to a base plane of the lens. In some embodiments, the probe can be formed by a microstrip which extends to a base plane of the lens. In yet an alternative embodiment, the probe is formed by a patch which is positioned between the ground plane and the lens. Application of a patch will commonly propagate generation of a spherical wave front and therefore a substantially homogenous power density distribution within the lens. Hence, different types of probes can be used in the lens antenna according to the present invention.

In case a single probe is used in the lens antenna, the antenna will be suitable to operate within a single designated frequency band. The frequency range of said frequency band completely depends on the application of the antenna. Currently, many mobile communication systems use several frequency bands such as GSM 900/1800/1900 bands (890-960 MHz and 1710-1990 MHz); Universal Mobile Telecommunication Systems (UNITS) and UMTS 3G expansion bands (1900-2200 MHz and 2500-2700 MHz); frequency bands in the microwave spectrum (1-100 GHz), in particular the K_(a) band (26.5-40 GHz) and the K_(u) band (12-18 GHz) used for satellite communication; and Wi-Fi (Wireless Fidelity)/Wireless Local Area Networks (WLAN) bands (2400-2500 MHz and 5100-5800 MHz). The lens antenna according to preferred embodiments of the invention is, however, not limited to the abovementioned enumeration of well-known frequency bands.

Conventionally, because a single antenna cannot operate at all of these frequency bands of mobile communication, multiple different antennas covering these bands separately could be used. However, usage of many antennas is usually limited by the volume and cost constraints of the applications. Therefore, multiband and wideband antennas are essential to provide multifunctional operations for mobile communication. A multiband antenna in a mobile communication system can be defined as the antenna operating at distinct frequency bands, but not at the intermediate frequencies between bands. To this end, it is preferred that the probing structure comprises multiple probes leading to multiple antenna ports. The operation of these probes can be reconfigurable. In recent years, a growing effort has been devoted by the industrial and scientific research communities in the development of reconfigurable antennas. This interest is pushed by the need for versatile front-ends in future microwave systems, which will support an ever growing number of functionalities such as radars, communication, direction and spectrum “sniffing” or control. Moreover, personal wireless or vehicle-to-vehicle communication devices must typically support a large number of standards (e.g., UMTS, Bluetooth, Wi-Fi, WiMAX, DSRC). A reconfigurable antenna can reuse its volume at different frequency bands so that a portion of or the entire structure is involved in a specific mode of operation. Antenna reconfigurability in conventional front-end architectures can be achieved by changing the state of suitable switching devices in order to optimize the performance of the device for application in different operative scenarios. Several approaches have been proposed for implementing this concept. Most of these approaches rely on either solid-state or electromechanical switches. The former includes switches based on PIN diodes, varactors or field-effect transistors (FETs), whereas the latter includes simple relays and a number of different types of micro-electromechanical-system (MEMS). In the proposed multi-port supershaped antenna concept, suitable solid-state tuning circuits connected to the input terminals of the antenna are used to dynamically adjust the relevant circuital characteristics, such as frequency of operation, and/or radiation properties. The device reconfigurability is technically achieved by changing the feeding/loading condition at the input ports and, thereby, the current distribution within the antenna structure.

The adopted multiple feeding mechanism, allowing for an easy wide-range tuneability of the antenna performance, has to be optimized in such a way as to minimize the level of spurious electromagnetic coupling between the antenna ports (probes), potentially resulting in a degradation of the device performance. In this context, it is actually to be stressed that the considered device is in fact acting as an antenna at those frequencies where the input power reflection level is not perfectly compensated by the transmission coefficients between the different ports. The natural resonant processes affecting the antenna characteristics can be activated or inhibited by properly tuning the loading impedances Z_(i) at the input ports i−0, 1, . . . , N, N being the number of antenna feeds. In doing so, particular attention should be put on the radiation efficiency η(Z_(i)) of the device in such a way as to maximize the input power into a radio-wave signal headed in a desired spatial direction. In this respect, it is straightforward to show that the power radiated by the antenna, regarded as a N-port network, can be easily expressed in terms of the incident and reflected wave vectors, a=a(Z_(i)) and b=b(Z_(i)) respectively, as follows:

$\begin{matrix} \begin{matrix} {P_{R} = {\frac{1}{2}\left( {{a}^{2} - {b}^{2}} \right)}} \\ {{= {\frac{1}{2}{a^{H} \cdot \underset{\_}{Q} \cdot a}}},} \end{matrix} & (1) \end{matrix}$

where the superscript denotes Hermitian transposition, and:

Q= 1−S ^(H) ·S   (2)

is the so-called dissipation matrix, 1 being the usual unit dyadic. In order to facilitate the analysis and optimization of the device, while gaining a useful insight in the physical mechanisms responsible for the relevant circuital behaviour, a singular-value-decomposition-based representation of the S-parameters is adopted. This factorization is given by:

S=U·Σ·V ^(H)  (3)

where U and V are unitary matrices of left and right singular vectors, respectively, and Σ is the diagonal matrix of corresponding ordered singular values σ_(n). As a consequence, the S-matrix relation b=S−a can be conveniently written as:

$\begin{matrix} {\underset{\underset{b^{\prime}}{}}{{\underset{\_}{U}}^{H} \cdot b} = {\sum\limits_{\_}{\cdot \underset{\underset{a^{\prime}}{}}{{\underset{\_}{V}}^{H} \cdot a}}}} & (4) \end{matrix}$

Upon considering the normalized wave vectors a′=V ^(H)·a and b′=U ^(H)·b, the device behaviour can be described as the superposition of the natural responses of decoupled one-port junctions, where the n-th junction presents a positive reflection coefficient σ_(n). Thus, one can readily infer that the circuital characteristics, as well as the radiation properties of the antenna are primarily defined by the singular values of the relevant scattering matrix. As a matter fact, by combining (1) and (2) with (4), the expression of the termination-dependent radiation efficiency is found to be, after some algebra:

$\begin{matrix} \begin{matrix} {\eta = \frac{P_{R}}{P_{in}}} \\ {= \frac{a^{H} \cdot \underset{\_}{Q} \cdot a}{a^{H} \cdot a}} \\ {{= \frac{\sum\limits_{n}{\left( {1 - \sigma_{n}^{2}} \right){a_{n}^{\prime}}^{2}}}{\sum\limits_{n}{a_{n}^{\prime}}^{2}}},} \end{matrix} & (5) \end{matrix}$

where P_(in)=½∥a∥²=½∥a′∥² denotes the power accepted at the terminals of the structure. Therefore, the optimal antenna operation is clearly achieved by minimizing the singular values σ_(n). In this way, the optimal loading condition Z_(i) (i=0, 1, . . . , N) of the input ports can be selected for proper antenna operation at the frequency bands of interest.

In some embodiments, these antennas can also be used in arrays, not only planar arrays but also in tailored 3D arrays, based on 3D supershapes. The considered class of lens antennas can be optimized for the design of inexpensive arrays for next-generation wireless radar, space applications with demanding requirements in terms of impedance matching and radiation properties. In this context, the adoption of non-uniformly spaced planar arrays is envisaged. Proper shaping of the radiation pattern with a reduced number of antenna elements leads to reduced weight, cost, and complexity of the feeding network. A larger average inter-element distance results in a smaller parasitic antenna coupling level. Due to the aperiodic spacing, no replicas of the antenna main lobe occur in the visible space, even where pattern scanning is performed. In the beam-forming for the proposed array configuration, both amplitude and phase of each antenna element are to be controlled. Combined amplitude and phase control can be used to adjust side lobe levels and steer nulls better than can be achieved by phase control only.

In order to provide the lens antenna the desired multiband functionality it is desired to make the geometry of at least two probes mutually different. As already mentioned before, the geometry includes both the shape and the dimensioning of the probes. By applying different geometries of the different probes different radiation characteristics can be obtained which easily leads to the desired multiband functionality. The preferred length of the probe is dependent on both the material of the lens, in particular the dielectric constant of the material of the lens, and the desired frequency or frequency band. As an example it is mentioned that in case a polymer lens, in particular a lens made of polyvinylchloride (PVC), is used which should operate in the 5 GHz frequency band for application in a wireless local area network (WLAN), the length of the probe is preferably between 4 and 8 mm. In case another probe (of the same antenna) would be configured to operate in the 2.4 GHz frequency band, the length of said probe would preferably be between 10 and 18 mm. The diameter of the at least one probe is preferably situated between 1 and 3 mm.

When identical antenna elements are placed in an array or multiple different antennas are used, they interact with each other. This interaction between elements due to their close proximity is called mutual coupling, which affects the input impedance as well as the radiation pattern. It is noted previously that in base station applications, more than one similar antenna can be implemented to either acquire higher gain with array structures or at least provide dual-polarization with two antenna probes. Furthermore, in mobile station applications, even multiple different antennas can be used in a limited available space to provide multiband operation. For these antenna systems, the mutual coupling is simply defined as the interference value between two antenna probes, which is desired to be as low as possible. In order to counteract mutual coupling, it is preferred that the mutual orientation of at least two probes is such that said probes are positioned at least partially out of the electromagnetic line of sight of each other. Because the probes do not see each other, the electromagnetic interference within the lens is kept to a minimum. Positioning the probes out of the line of sight of each other can be realised, for example, by positioning a separate reflective element between the probes. This reflective element can be enclosed by the lens. However, application of such a separate reflective element will commonly affect the efficiency of the antenna. It is therefore preferred that the electromagnetic radiation transmitted by at least one probe is at least partially reflected by at least one circumferential wall of the lens in a direction away from the at least one other probe. To this end, the circumferential wall of the lens is preferably at least partially concavely shaped which facilitates interruption of the line of sight of the probes. In some embodiments, the circumferential can be at least partially corrugated to propagate reflection of electromagnetic radiation transmitted by a probe in a direction away from the at least one other probe. As mentioned above, in the superformula m is preferably equal or larger than 4, which allows it to position the probes in the (circumferential) sharp edges of the lens to minimize mutual interference of the probes. As already mentioned, the probe can be accommodated at least partially within an accommodating space of the lens. The positioning of these accommodating spaces is preferably such that the probes will be positioned out of the line of sight.

The lens antenna according to the invention can be dimensioned relatively compactly if compared to conventional antennas. The height of the lens is preferably smaller than or equal to 5 cm which will commonly sufficient to allow proper functioning of the lens antenna according to the invention.

The lens is preferably at least partially made of a dielectric material, more preferably a dielectric material having a dielectric constant of between 2 and 90. By choosing a material having a relatively high dielectric constant, the size of the lens can be reduced significantly. It is possible that the lens is at least partially made of at least one ceramic. Dielectric constants (∈) of ceramics span from 4.5 to 100. Dielectrics with ∈ ranging from 4.5 to about 6 are typically based on magnesium aluminium silicate and magnesium silicate compounds, respectively. Dielectrics with ∈ in the 13 to 16 range are based on the compounds Mg₂TiO₄ and MgTiO₃. Several routes can be followed to obtain low loss ceramics with ∈>16. CaTiO₃ shows relatively modest loss but has a high ∈ (150-160) and a very large, negative temperature coefficient of ∈ (about −1600 ppm/° C.). In turn, CaTi O₃ is chemically compatible with both Mg₂TiO₄ (∈˜13) and MgTiO₃ (∈˜16). Note that the magnesium titanates have moderately positive temperature coefficients of ∈. Thus, composite ceramics composed of Mg₂TiO₄ plus CaTiO₃ can cover ∈ from 13 to about 150 at any desired value while composites of MgTiO₃ plus CaTiO₃ cover almost the same range, 16 to about 150. Low loss ceramics covering ∈ from about 37 to about 100 also can be produced from barium titanates. Typically, the low end of the series is the compound, BaTi₄O₉. Small increases in the TiO₂ content yield BaTi₄O₉/Ba₂Ti₉O₂₀ ceramic composites or pure Ba₂Ti₉O₂₀. However, the ∈ remains in the 37-39 range and temperature coefficient of ∈ remains very small but slightly negative. The region, ∈˜39-100, is characterized by ceramics consisting of Ba₂Ti₉O₂₀ plus TiO₂. Both ∈ and temperature coefficient of ∈ rapidly rise in magnitude with increasing TiO₂ (∈=100) content. It has been found that ceramics with relatively low dielectric constants from 4.5 to 10 are commonly most suitable to be used as lens material.

However, in some embodiments, which are often favourable, the lens is at least partially made of glass, in particular Pyrex® (a clear, low-thermal-expansion borosilicate glass commercially available from Corning Incorporated), crystal, silica (silicon dioxide), ferroelectric dielectric materials, liquid crystals, at least one polymer, in particular polyvinylchloride (PVC), polystyrene (PS), polyimide (PI), a bioplastic (a plastic derived from renewable biomass sources, such as vegetable fats and oils, corn starch, pea starch or microbiota), or fluoroplastics; and/or a metal oxide, in particular titanium oxide, aluminium oxide, barium oxide, or strontium oxide. In particular, the application will commonly be prepared both from a financial point of view and from a design point of view. Polymers are relatively cheap, and moreover easy to shape using conventional moulding, extrusion and/or thermoforming techniques, and can even be shaped by way of 3D printing which provides a significant freedom of design. In this context, in some embodiments one can apply a lens comprising a shell which is at least partially made of at least one glass, crystal, and/or at least one polymer enclosing at least one inner space which is at least partially filled with a fluid, preferably air or demineralised water (acting as dielectric). The application of air and water will reduce the quantity of other materials used which will further reduce the cost price of the lens and therefore of the antenna according to the invention. The lens can be a dielectric resonator leading to a dielectric resonator antenna (DRA). Electromagnetic radiation are introduced as radio waves into the inside of the resonator material from a transmitter circuit, wherein the waves bounce back and forth between the resonator walls, forming standing waves. The walls of the resonator are partially transparent to radio waves, allowing the radio power to radiate into space. These resonating lenses thus lack metal parts, which would affect the energy dissipation within the lens, and therefore have lower losses and are more efficient than conventional metal antennas.

In a preferred embodiment, a surface of the ground plane directed towards the lens is at least partially reflective. The ground plane could be flat or curved (cup-shaped or bowl-shaped) and comprises an electrically conducting surface to reflect the electromagnetic radio waves from other antenna elements. The plane does not necessarily have to be connected to ground. Commonly to function as a ground plane, the conducting surface must be at least a quarter of the wavelength (λ/4) of the radio waves in size. For higher frequency antennas, in the VHF or UHF range, the ground plane can be formed e.g. by a metal disc or a screen. At upper VHF and UHF frequencies, the metal skin of a car or aircraft can serve as a ground plane for whip antennas projecting from it. The ground plane doesn't have to be a continuous surface. In the ground plane antenna the “plane” consists of several wires λ/4 long radiating from the base of a quarter wave whip antenna. The radio waves from the lens (or from another antenna) that reflect off a ground plane appear to come from a mirror image of the antenna located on the other side of the ground plane. In a monopole antenna, the radiation pattern of the monopole plus the virtual “image antenna” make it appear as a two element centre-fed dipole antenna. So a monopole mounted over an ideal ground plane has a radiation pattern identical to a dipole antenna. The feed line from the transmitter or receiver is connected between the bottom end of the monopole element and the ground plane. The ground plane preferably has good conductivity; any resistance in the ground plane is in series with the antenna, and serves to dissipate power from the transmitter. The ground plane could be combined with a printed circuit board (PCB). This serves to make circuit design easier, allowing the designer to ground any component without having to run additional copper traces; component copper wire needing grounding is routed directly through a hole in the board to the ground plane on another layer. The large area of copper also conducts the large return currents from many components without significant voltage drops, ensuring that the ground connection of all the components are at the same reference potential. However, for this specific purpose, the major reason for using large ground planes is commonly to reduce electrical noise and interference being coupled from one part of the circuit to another through the ground (ground loops), and crosstalk between adjacent circuit traces.

When digital circuits switch state large current pulses flow from the integrated circuits through the ground circuit. If the power supply and ground wires have significant resistance, the voltage drop across them can create noise voltage pulses in the ground wires, which are applied to other parts of the circuit. The large capacitance of the ground plane allows it to absorb the current pulses without much change in voltage. In addition, a ground plane under printed circuit traces can reduce crosstalk between adjacent traces. When two traces run parallel, an electrical signal in one can be coupled into the other through electromagnetic induction by magnetic field lines from one linking the other; this is called crosstalk. When a ground plane layer is present underneath, it forms a transmission line (stripline) with the trace. The oppositely-directed return currents flow through the ground plane directly beneath the trace. This confines the electromagnetic fields to the area between the trace and the ground plane, reducing crosstalk.

In a lens antenna, the directivity pattern is a result of the difference between the phase velocity of propagation of an electromagnetic wave in air and that in the lens material (n≠1). The shape of the lens depends on the refractive index n (the ratio of the phase velocity of propagation of a radio wave in a vacuum to that in the lens). A decelerating lens antenna, as in optics, is one for which n>1. The lens of these kinds of antennas are preferably made of high-quality low-loss homogeneous dielectrics, such as polymers.

The probing structure preferably comprises at least one first probe configured to communicate in a first frequency band, and at least one second probe configured to communicate in a second frequency band, which allows the antenna to be implemented in a Multiple Input Multiple Output (MIMO) system. MIMO technology has recently developed as a new technology to achieve very high bandwidth efficiencies and larger data rates in modern wireless communications. In MIMO technology, multiple antennas are placed at the input and output side of a communication system to improve the channel capacities. The multidimensional statistical behaviour of the MIMO fading channel and the design parameters of the antennas that are taken at the transmitter and receiver side are responsible for the improvement of data rates. Multiple Input Multiple Output (MIMO) technology is the latest paradigm, where multiple antennas are used at both transmitter and receiver to improve communication performance. It is one of several forms of smart antenna technology. MIMO technology has attracted attention in wireless communications, because it offers significant increase in data throughput, channel capacity and link range without additional bandwidth or increase transmitted power. Because of these properties, MIMO is an important part of modern wireless communication standards such as IEEE802.11n (Wi-Fi), 4G, 3GPP long term evolution, WiMAX (Wireless interoperability for microwave access) and HSPA (High Speed Packet Access) etc. The main objective of MIMO systems is that the antennas in the array must provide diverse reception at smaller spacing. When the antennas are closely placed, the electromagnetic waves of different antennas interfere with each other resulting in signal loss. In MIMO systems, a major problem faced by the designers is mutual coupling, which arises mainly due to the electromagnetic interactions between the antennas in the array. This problem mainly occurs due to the small spacing between the antennas in the array.

A parallel reasoning applies to the lens antenna according to preferred embodiments of the invention. Hence, it is favourable to keep sufficient distance between the adjacent probes to counteract mutual coupling, in particular in case the probing structure comprises multiple first probes and multiple second probes. This minimum distance is dependent on the wavelength of the electromagnetic radiation, the material of the lens, and the geometry of the probes.

In preferred embodiments, the antenna comprises at least one processor to automatically switch the probing structure between a radiation transmitting mode and a radiation receiving mode for two-way communication of the probing structure. More particularly, the processor is preferably configured to automatically switch between the first frequency band and the second frequency band for two-way communication in each frequency band.

The preferred embodiments of the invention also relate to an antenna system for transmitting and receiving electromagnetic signals comprising at least one antenna according to the invention. The antenna system comprises a plurality of MIMO-configured antennas as described above, wherein each antenna comprises multiple probes. The system preferably also comprises at least two multi-band antennas, and at least one processor for switching in at least one of the frequency bands, so ensuring diversity of reception and transmission of the signals in this band. Preferably, a processor is configured to control switching means, wherein the switching means is a SPDT (Single Port Double Throw) switch or a DPDT (Double Port Double Throw) switch. Preferably, the system further comprises at least one interface means for programming the at least one processor, and therefore for programming (configuring) the antenna as such.

According to some embodiments, the invention further relates to a method of manufacturing an antenna according to the invention, comprising:

-   -   A) designing at least one ground plane and/or at least one lens         such that the ground plane and/or the lens have at least one         base profile which is substantially supershaped, said supershape         defined by the polar function (superformula):

${\rho_{d}(\phi)} = \frac{1}{n_{1}\sqrt{{{\frac{1}{a}\cos \frac{\; m_{1}}{4}\phi}}^{n_{2}} + {/{- {{\frac{1}{b}\sin \; \frac{m_{2}}{4}\phi}}^{n_{3}}}}}}$ a , b ∈ + ; m 1 , m 2 , n 1 , n 2 ∈ , a , b , n 1 ≠ 0

-   -   and wherein:         -   ρ_(d)(φ) is a curve located in the XY-plane; and         -   φ∈[0, 2π) is the angular coordinate,     -   B) assembling the ground plane, the lens, and the probing         structure, said probing structure comprising at least one probe.

According to some embodiments, advantages of using the superformula for designing the ground plane and/or the lens have been described above already in a comprehensive manner. During step B) preferably multiple probes are connected to the ground plane and/or the lens. At least one probe is preferably configured to communicate in a first frequency band and at least one other probe is configured to communicate in a second frequency band. More preferably, the different probes are oriented such that, during operation, different sectors of the lens will be excited. It is favourable in case the probes are positioned out of the line of sight in order to counteract mutual coupling.

According to some embodiments, the invention further relates to a method for use in wireless communications by using an antenna according to the invention, the method comprising the step of connecting a communication circuit to an antenna network, the network comprising a plurality of antennas according to the invention, each antenna optimized for operation in at least one designated frequency band. The optimization of the antenna geometry and material completely depends on the specific purpose. The communication circuit commonly comprises a transmitter and/or a receiver which in combination form a transceiver. Each antenna is preferably optimized for operation in multiple frequency bands, wherein each probe is configured to operate within a designated (single) frequency or frequency band. The antennas can be connected either in parallel or in series.

According to some embodiments, the invention additionally relates to a lens as used in an antenna according to the invention. The invention also relates to a ground plane as used in an antenna according to the invention. Advantages and embodiments of these antenna components have been described above in a comprehensive manner.

A still further embodiment of the present invention refers to an RF transceiver of a wireless communications device, wherein an antenna according to the invention is employed.

Finally, in some embodiments, the invention refers to an electronic device having a wireless interface which comprises an RF transceiver as described above.

BRIEF DESCRIPTION OF THE DRAWINGS

Various illustrative embodiments of the invention will be elucidated on the basis of non-limitative exemplary embodiments shown in the following figures. Herein:

FIG. 1 shows a schematic diagram showing various components that can be included in various embodiments for the synthesis of patterns and/or for the analysis of patterns with the super-formula operator;

FIG. 2 shows a schematic diagram illustrating steps or phases that can be performed in exemplary embodiments involving synthesis of patterns with the super-formula;

FIG. 3 shows a perspective view of an embodiment of a lens antenna according to the invention;

FIGS. 4( a) and (b) show a top view of the power density distribution of the antenna according to an embodiment of the invention (FIG. 4( a)) and another antenna (FIG. 4( b));

FIGS. 5-9 show schematic views of different antenna constructions according to the invention;

FIG. 10 shows a MIMO-configured antenna system according to an embodiment of the invention, comprising multiple antennas according to the invention;

FIG. 11 shows a cross-section of a lens antenna according to an embodiment of the invention, and

DETAILED DISCUSSION OF THE PREFERRED EMBODIMENTS

According to the first aspect, for illustrative purposes with reference to FIG. 1, which is also incorporated in U.S. Pat. No. 7,620,527 as FIG. 16, shapes or waves of a ground plane and/or a lens of an antenna according to the invention, can be “synthesized” by the application of the following exemplary basic steps:

In a first step, a choice of parameters is made (e.g., by either inputting values into the computer 10, i.e., via a keyboard 20, a touch screen, a mouse-pointer, a voice recognition device or other input device or the like, or by having the computer 10 designate values), and the computer 10 is used to synthesize a selected super-shape based on the choice of parameters.

In a second optional step, the super-formula can be used to adapt the selected shapes, to calculate optimization, etc. This step can include use of: graphics programs (e.g., 2D, 3D, etc.); CAD software; finite element analysis programs; wave generation programs; or other software.

In a third step, the output from the first or second step is used to transform the computerized super-shapes into a physical form, such as via: (a) displaying the super-shapes 31 on a monitor 30, printing the super-shapes 51 upon stock material 52 such as paper from a printer 50 (2-D or 3-D); (b) performing computer aided manufacturing (e.g., by controlling an external device 60, such as machinery, robots, etc., based on the output of step three); (c) generating sound 71 via a speaker system 70 or the like; (d) performing stereo lithography; (e) performing rapid prototyping commonly based on 3D printing technology; and/or (f) utilizing the output in another manner known in the art for transforming such shapes.

Various computer aided manufacturing (“CAM”) techniques and products made therefrom are known in the art and any appropriate CAM technique(s) and product(s) made can be selected. As just some examples of CAM techniques and products made therefrom, see the following U.S. patents (titles in parentheses), the entire disclosures of which are incorporated herein by reference: U.S. Pat. No. 5,796,986 (Method and apparatus for linking computer aided design databases with numerical control machine database); U.S. Pat. No. 4,864,520 (Shape generating/creating system for computer aided design, computer aided manufacturing, computer aided engineering and computer applied technology); U.S. Pat. No. 5,587,912 (Computer aided processing of three dimensional objects and apparatus therefor); U.S. Pat. No. 5,880,962 (Computer aided processing of 3-D objects and apparatus thereof); U.S. Pat. No. 5,159,512 (Construction of Minkowski sums and derivatives morphological combinations of arbitrary polyhedral in CAD/CAM systems).

Various stereo lithography techniques and products made therefrom are known in the art and any appropriate stereo lithographic technique(s) and product(s) made can be selected. As just some examples of stereo lithographic techniques and products made therefrom, see the following U.S. patents (titles in parentheses), the entire disclosures of which are incorporated herein by reference: U.S. Pat. No. 5,728,345 (Method for making an electrode for electrical discharge machining by use of a stereo lithography model); U.S. Pat. No. 5,711,911 (Method of and apparatus for making a three-dimensional object by stereo lithography); U.S. Pat. No. 5,639,413 (Methods and compositions related to stereo lithography); U.S. Pat. No. 5,616,293 (Rapid making of a prototype part or mold using stereo lithography model); U.S. Pat. No. 5,609,813 (Method of making a three-dimensional object by stereo lithography); U.S. Pat. No. 5,609,812 (Method of making a three-dimensional object by stereo lithography); U.S. Pat. No. 5,296,335 (Method for manufacturing fibre-reinforced parts utilizing stereo lithography tooling); U.S. Pat. No. 5,256,340 (Method of making a three-dimensional object by stereo lithography); U.S. Pat. No. 5,247,180 (Stereo lithographic apparatus and method of use); U.S. Pat. No. 5,236,637 (Method of and apparatus for production of three dimensional objects by stereo lithography); U.S. Pat. No. 5,217,653 (Method and apparatus for producing a stepless 3-dimensional object by stereo lithography); U.S. Pat. No. 5,184,307 (Method and apparatus for production of high resolution three-dimensional objects by stereo lithography); U.S. Pat. No. 5,182,715 (Rapid and accurate production of stereo lithographic parts); U.S. Pat. No. 5,182,056 (Stereo lithography method and apparatus employing various penetration depths); U.S. Pat. No. 5,182,055 (Method of making a three-dimensional object by stereo lithography); U.S. Pat. No. 5,167,882 (Stereo lithography method); U.S. Pat. No. 5,143,663 (Stereo lithography method and apparatus); U.S. Pat. No. 5,130,064 (Method of making a three dimensional object by stereo lithography); U.S. Pat. No. 5,059,021 (Apparatus and method for correcting for drift in production of objects by stereo lithography); U.S. Pat. No. 4,942,001 (Method of forming a three-dimensional object by stereo lithography and composition therefore); U.S. Pat. No. 4,844,144 (Investment casting utilizing patterns produced by stereo lithography).

Moreover, the present invention can be used in known micro-stereo lithographic procedures. For example, the present invention can, thus, be used in the creation of computer chips and other items. Some illustrative articles, the disclosures of which are incorporated herein by reference, are as follows: A. Bertsch, H Lorenz, P. Renaud “3D microfabrication by combining microstereolithography and thick resist UV lithography,” Sensors and Actuators: A, 73, pp. 14-23, (1999). L. Beluze, A. Bertsch, P. Renaud “Microstereolithography: a new process to build complex 3D objects,” Symposium on Design, Test and microfabrication of MEMs/MOEMs, Proceedings of SPIE, 3680(2), pp. 808-817, (1999). A. Bertsch, H. Lorenz, P. Renaud “Combining Microstereolithography and thick resist UV lithography for 3D microfabrication,” Proceedings of the IEEE MEMS 98 Workshop, Heidelberg, Germany, pp. 18-23, (1998). A. Bertsch, J. Y. Jézéquel, J. C. André “Study of the spatial resolution of a new 3D microfabrication process: the microstereophotolithography using a dynamic mask-generator technique,” Journal of Photochem. and Photobiol. A: Chemistry, 107, pp. 275-281, (1997). A. Bertsch, S. Zissi, J. Y. Jezequel, S. Corbel, J. C. André “Microstereophotolithography using a liquid crystal display as dynamic mask-generator,” Micro. Tech., 3(2), pp. 42-47, (1997). A. Bertsch, S. Zissi, M. Calin, S. Ballandras, A. Bourjault, D. Hauden, J. C. André “Conception and realization of miniaturized actuators fabricated by Microstereophotolithography and actuated by Shape Memory Alloys,” Proceedings of the 3rd France-Japan Congress and 1st Europe-Asia Congress on Mechatronics, Besancon, 2, pp. 631-634, (1996).

Similarly, various rapid prototyping techniques and products made therefrom (e.g., moulds, etc.) are known in the art and any appropriate technique(s) and product(s) made can be selected. For example, three exemplary 3-Dimensional model rapid prototyping methods currently available, include, as described in U.S. Pat. No. 5,578,227, the disclosure of which is incorporated herein by reference: a) photocurable liquid solidification or stereo lithography (e.g., see above); b) selective laser sintering (SLS) or powder layer sintering; c) fused deposition modelling (FDM) or extruded molten plastic deposition method. As just some examples of rapid prototyping techniques and products made therefrom, see the following U.S. patents (titles in parentheses), the entire disclosures of which are incorporated herein by reference: U.S. Pat. No. 5,846,370 (Rapid prototyping process and apparatus therefor); U.S. Pat. No. 5,818,718 (Higher order construction algorithm method for rapid prototyping); U.S. Pat. No. 5,796,620 (Computerized system for lost foam casting process using rapid tooling set-up); U.S. Pat. No. 5,663,883 (Rapid prototyping method); U.S. Pat. No. 5,622,577 (Rapid prototyping process and cooling chamber therefor); U.S. Pat. No. 5,587,913 (Method employing sequential two-dimensional geometry for producing shells for fabrication by a rapid prototyping system); U.S. Pat. No. 5,578,227 (Rapid prototyping system); U.S. Pat. No. 5,547,305 (Rapid, tool-less adjusting system for hot stick tooling); U.S. Pat. No. 5,491,643 (Method for optimizing parameters characteristic of an object developed in a rapid prototyping system); U.S. Pat. No. 5,458,825 (Utilization of blow molding tooling manufactured by stereo lithography for rapid container prototyping); U.S. Pat. No. 5,398,193 (Method of three-dimensional rapid prototyping through controlled layerwise deposition/extraction and apparatus therefor).

The above-noted three steps, or phases, are also schematically illustrated in the schematic diagram shown in FIG. 2 (steps 1 and 2 being capable of being carried out within the computer itself as shown). This figure corresponds to FIG. 17 of U.S. Pat. No. 7,620,527.

In the following sections, a number of exemplary embodiments of pattern “synthesis” with the super-formula are described in further detail.

A. 2-D Graphical Software

The present invention has great utility in 2-D graphic software applications.

The present invention can be applied, for example, in conventional commercial programs such as Corel-Draw™ and Corel-Paint™, Open Office applications, Supergraphx™ for Adobe Illustrator and Photoshop™, Adobe Photoshop™, in various drawing programs in Visual Basic™ or Windows™, or in other environments like, for example, Lotus WordPro™ and Lotus Freelance Graphics™, Java™, Visual C™ Visual C++™ and all other C-environments. The present invention has substantial advantages in image synthesis because, among other things, the present approach enables a substantial savings in computer memory space because only the super-formula with classical functions (such as powers, trigonometric functions, etc.) needs to be utilized. In addition, the number of image shapes available with the super-formula is substantially increased beyond that previously available.

Graphics programs (such as Paint in Windows™, drawing tools in Microsoft Word™ Corel-Draw™, CAD, that used in architectural design, etc.) use “primitives” which are shapes programmed into the computer. These are very restrictive, e.g., often limited to mainly circles, ellipses, squares and rectangles (in 3-D, volumetric primitives are also very restricted).

The introduction of the super-formula greatly enlarges by several orders of magnitude the overall possibilities in 2-D graphics (and also in 3-D graphics as discussed below). Used as a linear operator it can operate in many different ways and formulations, whether polar coordinates, etc., and also in 3-D using spherical coordinates, cylindrical coordinates, parametric formulations of homogenized cylinders, etc.

Some exemplary embodiments within 2-D graphics software applications are as follows.

a.1. The computer can be adapted to make plain use of the operator, in for example polar coordinates or in XY coordinates. In this sense, the parameters can be chosen (e.g., by an operator input or by the computer itself) and used as input in the super-formula (e.g., via programming). The individual shapes or objects can be used in any manner, such as to print or display an object, etc.

a.2. The computer can also be adapted to perform operations such as integration to calculate area, perimeter, moment of inertia, etc. In this regard, the computer can be adapted to perform such an operation either by a) selection of such operation via an operator input (e.g., via keyboard 20) or b) adapting of the computer (e.g., via pre-programming) to perform such operations.

a.3. The computer can be adapted (e.g., via software) to: a) display or otherwise present shapes; b) to allow a user to modify such shapes after the display thereof; and c) to display the shape as modified by the user. In this regard, the user can modify the shape by, for example, changing parameters. In an exemplary embodiment, the computer can be adapted to enable shapes that are displayed or otherwise presented (i.e., presented in step three noted above) by physically acting on the physical representation created in step three. In a preferred embodiment, the computer can be adapted to enable shapes that are displayed on a monitor to be modified by pulling out sides and/or corners of the pattern, e.g. image. In that regard, preferably, an image 31 is displayed on a computer screen or monitor 30 and a user can use his hand manipulated “mouse” 40 (or other user-manipulated screen or display pointer device) to place a displayed pointer 32 on the shape to “click” and “drag” the same to a new position 33—thereby moderating the super-shape to assume a new “super-shape” configuration 34. This will also include a recalculation of the formula and parameters.

a.4. The computer can also be adapted to perform operations whereby more than one of the individual shapes generated in a1 or a3 are taken together, either through the process of super-position. In some cases, individual supershapes that are combined by, e.g., super-position and/or reiteration or the like may be, e.g., sectors or sections that are combinable to create shapes having differing sections or regions (as just one illustrative example, a sector of a circle between, e.g., 0 and π/2 can be combined with a sector of a square between, e.g., π/2 and π to create a multi-component shape). The computer can also be adapted to perform additional operations upon the created super-shapes—e.g., to flatten, skew, elongated, enlarge, rotate, move or translate, or otherwise modify such shapes.

B 3-D Graphical Software

As with 2-D applications, the present invention has great utility in 3-D graphic software applications (as well as in representations in various other dimensions).

The present invention can be applied, for example, in Computer Aided Design (“CAD”) software, software for Finite Element Analysis (“FEM”), Supergraphx 3D Shape Explorer, antenna design and analysis software, such as CST, Ansoft HFSS, Remcom XFdtd, EMSS Feko, Empire XCcel, architectural design software, etc. The present invention allows, for example, one to use single continuous functions, rather than spline functions, for various applications. Industrial applications of CAD include, e.g., use in Rapid Prototyping or in Computer Aided Manufacturing (“CAM”) including 3D printing.

Reference is made to FIG. 3, wherein an embodiment of a lens antenna 300 according to preferred embodiments of the invention is shown. The antenna 300 comprises a ground plane 301, an electromagnetic lens 302 mounted to said ground plane 301, and a probing structure of which merely a probe 303 is shown. The lens 302 has a prismatic shape which complies with the superformula. The lens 302 is made of PVC in this example. The lens 302 is provided with an accommodating space 304 for accommodating the probe. The ground plane 301 is made of metal. Both the probe 303 and the ground plane 301 are connected, commonly via a control circuit (not shown), to an electrical power source, such as a battery (DC) or mains (AC). The lens 302 in this embodiment acts as dielectric resonator which makes the lens antenna 300 a dielectric resonator antenna (DRA). Since the lens 302 complies with the superformula, this antenna 300 can also be considered as a supershaped antenna (S-DRA). The circular metal plate acting as ground plane 301 has a radius plane. The antenna 300 is fed from the bottom side by means of a coaxial connector turning, at the ground plane level, into the electric probe 303 of length h_(p) and diameter d_(m) The probe is located at (x_(p), y_(p), 0). The metal ground plane 301 has a radius ρ_(g) and a thickness t_(g). The prismatic lens 302 had its axis aligned along the z-direction and its base profile defined by the polar function:

${\rho_{d}(\phi)} = \left\lbrack {{{\frac{1}{a}{\cos \left( {\frac{\; m}{4}\phi} \right)}}}^{n_{2}} + {{\frac{1}{b}\sin \; \left( {\frac{m}{4}\phi} \right)}}^{n_{3}}} \right\rbrack^{- \frac{1}{n_{1}}}$

wherein ρ_(d) (φ) is a curve located in the XY-plane and φ∈[0, 2pi) is the angular coordinate. In this example the following values are used to arrive at the shape of the lens 302 as shown in FIG. 3: a=b=1; m=4; and n₁=n₂=n₃=½.

PVC used for the lens 302 in this illustrative example is a thermoplastic polymer produced in enormous quantities in reason of low cost and ease of processing. Moreover, PVC is extremely durable and resistant to chemical corrosion and thus very well adapted to outdoor applications. Additionally, PVC can be blended with different materials providing a wide range of physical properties. The use of PVC can then result in an inexpensive option for manufacturing intricately shaped dielectric resonator/lens antennas by using conventional drilling/milling or more advanced three-dimensional printing techniques. This is furthermore of significant importance in order to enhance the aesthetic quality of the proposed radiating structures when used for wireless communications in habitable structures such as residential units, office buildings, theaters, stadiums, etc. Not only PVC enables the implementation of complicated resonator/lens geometries, but, thanks to its low permittivity, it also favours a lowering of the antenna quality factor and, hence, a widening of the working frequency band, as well as an enhancement of the energy radiation level. It has been found that the proposed radiators outperform the classical dielectric resonator/lens antennas both in terms of fractional bandwidth and gain. Thanks to the use of plastic materials, such performance is achievable with reduced manufacturing costs. This feature is particularly desirable in mass-production contexts typical of new-generation wireless multimedia applications. It is also possible to use 3D printing for single production of antennas, tailored to specific applications. Typically, in 3D printing three-dimensional solid objects are formed using an additive process in which successive layers of material are laid down one upon the other to create desired. In both mass production and in 3D printing, a variety of plastics can be used, including bioplastics and combinations of plastics, depending on the dielectric constants of the material.

The manufacturing of antennas for radar, satellite, and wireless communications typically entails using expensive microwave materials with significant environmental impact due to large carbon dioxide emission levels in the production processes, and difficulty in recycling. On the other hand, the suggested use of plastics and in particular polyvinyl chloride (PVC), for the manufacturing of the supershaped dielectric resonators and lenses provides clear advantages in terms of sustainability. As a matter of fact, PVC is a material well-suited to recycling, and requires fewer natural resources since it is mostly made out of chlorine, which is derived from common salt that is abundant on the Earth. Therefore, in contrast to other plastics, PVC contributes significantly to saving oil, which is a non-renewable resource. Besides, PVC requires only about 80% of the energy need required for the production of other polymers. Finally, it is to be stressed that alternative low-carbon materials can be usefully employed in the manufacturing of supershaped dielectric resonator/lens antennas with a favourable environmental effect, while keeping a good device performance in terms of circuital characteristics and radiation properties.

In addition, in other embodiments, various other materials can be employed to produce antennas in a highly sustainable way. Moreover antennas with dynamic shape changes to modify its behaviour for specific purposes, using liquid components (such as liquid crystals) can be employed, with the dynamics of shape changes modified by mechanical or electronic steering, or making use of other physical forces.

The shape of the lens 302 is such that a relatively good power density distribution in preferred directions can be obtained as when compared with such a distribution in case a cylindrical lens would be used (see FIG. 4( a), showing an exemplary embodiment of the invention, and 4(b), showing an example of a cylindrical lens).

At high frequencies, the radiation properties of supershaped lens antennas can be investigated by means of a dedicated asymptotic technique based on optical ray approximation. In particular, Geometrical Optics is adopted to analyze the electromagnetic field propagation within the lens region. In doing so, the contribution of the multiple internal reflections is properly taken into account, so enhancing the accuracy of the modelling procedure especially where dielectric materials with relatively large permittivity are used in the design since, in this case, the common hypothesis that the energy content relevant to higher order reflected rays can be neglected is not applicable. Finally, by virtue of the equivalence principle, the electromagnetic field outside the lens can be evaluated by radiation in free space of the equivalent electric and magnetic current distributions along the interface with the air region. In the developed design methodology, these currents are determined by application of the local Fresnel transmission coefficients along the surface of the lens to the Geometrical Optics field in accordance with the Physical Optics method. In this context, the adoption of the Gielis' formula translates into the possibility of automatically reshaping the lens profile so that any automated optimization procedure, such as Genetic Algorithms, Neural Networks, Particle Swarm Optimation, and Ant Colony Optimization, can be applied in order to identify the geometrical parameters yielding optimal antenna performance.

The electric field distribution transmitted outside the lens region can be conveniently evaluated as:

$\begin{matrix} {{{\overset{\rightarrow}{E}}_{t} = {\sum\limits_{m}{\overset{\rightarrow}{E}}_{t}^{m}}},{{with}\text{:}}} & (6) \\ {{\overset{\rightarrow}{E}}_{t}^{m} = {{{{\overset{\rightarrow}{E}}_{t^{\backprime}}^{m}}^{{j\angle}{\overset{\rightarrow}{E}}_{t}^{m}}\frac{\left( {\hat{n} \times {\hat{k}}_{t}^{m}} \right) \times {\hat{k}}_{t}^{m}}{{\left( {\hat{n} \times {\hat{k}}_{t}^{m}} \right) \times {\hat{k}}_{t}^{m}}}} + {E_{t\bot}^{m}\frac{\hat{n} \times {\hat{k}}_{t}^{m}}{{\hat{n} \times {\hat{k}}_{t}^{m}}}}}} & (7) \end{matrix}$

denoting the electric field contribution pertaining to the internal reflection process of order m. In (7), denotes the normal to the surface of the lens, {circumflex over (k)}_(t) ^(m)={right arrow over (k)}_(t) ^(m)/∥{right arrow over (k)}_(t) ^(m)∥ is the normalized wave propagation vector of the m-th reflected beam transmitted out of the lens with ∥{right arrow over (k)}_(t) ^(m)∥=2π/λ₀, λ₀ being the operating wavelength in the vacuum. In particular, {right arrow over (E)}_(i′) ^(m) and E_(i⊥) ^(m) are the parallel and orthogonal components, respectively, of the transmitted wave contribution due to the m-th reflected beam. These field quantities are determined by multiplying the components {right arrow over (E)}_(i′) ^(m), E_(i⊥) ^(m) of the internal field {right arrow over (E)}_(i) ^(m) impinging on the surface of the lens with the proper Fresnel transmission coefficients. The evaluation of {right arrow over (E)}_(i′) ^(m), E_(i⊥) ^(m) is, in turn, carried out by means of the following relations:

$\begin{matrix} {{E_{i\bot}^{m} = {{\overset{\rightarrow}{E}}_{i}^{m} \cdot \frac{\hat{n} \times {\hat{k}}_{i}^{m}}{{\hat{n} \times {\hat{k}}_{i}^{m}}}}},} & (8) \\ {{\overset{\rightarrow}{E}}_{t^{\backprime}}^{m} = {{\overset{\rightarrow}{E}}_{i}^{m} - {E_{i\bot}^{m}{\frac{\hat{n} \times {\hat{k}}_{i}^{m}}{{\hat{n} \times {\hat{k}}_{i}^{m}}}.}}}} & (9) \end{matrix}$

The incident field {right arrow over (E)}_(i) ^(m)(P) at the general point P is directly computed by using the far-field pattern of the source if m=1. On the other hand, for m>1, {right arrow over (E)}_(i) ^(m)(P) is derived starting from the m-th reflected wave contribution as:

{right arrow over (E)} _(i) ^(m)(P)={right arrow over (E)} _(r) ^(m)(P _(m))e ^(jk,d),  (10)

with d denoting the Euclidean distance between the observation point P and the point P_(m) at which the reflection takes place. The reflected field {right arrow over (E)}_(i) ^(m)(P_(m)) appearing in (10) is given by:

$\begin{matrix} {{{{\overset{\rightarrow}{E}}_{r}^{m}\left( P_{m} \right)} = {{{{\overset{\rightarrow}{E}}_{r^{\backprime}}^{m}}^{{j\angle}{\overset{\rightarrow}{E}}_{r^{\backprime}}^{m}}\frac{\left( {\hat{n} \times {\hat{k}}_{r}^{m}} \right) \times {\hat{k}}_{r}^{m}}{{\left( {\hat{n} \times {\hat{k}}_{r}^{m}} \right) \times {\hat{k}}_{r}^{m}}}} + {E_{r\bot}^{m}\frac{\hat{n} \times {\hat{k}}_{r}^{m}}{{\hat{n} \times {\hat{k}}_{r}^{m}}}}}},} & (11) \end{matrix}$

where the parallel and orthogonal components with respect to the plane of incidence, {right arrow over (E)}_(r′) ^(m) and E_(r⊥) ^(m), are computed by multiplication of the corresponding components, E_(r′) ^(m) and E_(i⊥) ^(m), of the incident field at the point P_(m) with the proper Fresnel reflection coefficients. In (11), {circumflex over (k)}_(i) ^(m)={right arrow over (k)}_(i) ^(m)/∥{right arrow over (k)}_(i) ^(m)∥ is the normalized wave vector of the incident field with ∥{right arrow over (k)}_(i) ^(m)∥=2πn_(d)/λ₀, n_(d) being the refractive index in the dielectric material forming the lens.

Once the Geometrical Optics field has been evaluated, the equivalent electric {right arrow over (J)}_(s) and magnetic {right arrow over (M)}_(s) current densities along the surface of the lens can be determined in a straightforward manner. In this way, according to the physical optics method, the electromagnetic field radiated by the antenna at the observation point P_(FF)≡(r_(FF), θ_(FF), φ_(FF)) can be readily computed by means of the integral expression:

$\begin{matrix} {{{{\overset{\rightarrow}{E}}_{FF}\left( P_{m} \right)} = {j\frac{^{{- j}\; k_{0}r_{FF}}}{2\lambda_{0}r_{FF}}{\int\limits_{S}{\left\lbrack {{\eta_{0}{{\overset{\rightarrow}{J}}_{s}(P)} \times {\hat{u}}_{0}} - {{\overset{\rightarrow}{M}}_{s}(P)}} \right\rbrack \times {\hat{u}}_{0}^{{- j}\; k_{0}{\overset{\rightarrow}{r} \cdot {\hat{u}}_{0}}}{S}}}}},} & (12) \end{matrix}$

where û₀ is the unit vector normal to the surface of the lens at the general point P≡(r, θ, φ).

FIGS. 5-9 show schematic views of different antenna constructions according to illustrative embodiments of the invention.

FIG. 5 shows a single-band antenna 500 that comprises a supershaped lens 501, a reflective supershaped ground plane 502 connected to said lens 501, and a waveguide 503 for feeding electromagnetic radiation into the lens 501 and/or for receiving electromagnetic radiation from the lens 501.

FIG. 6 shows a dual-band antenna 600 comprises a supershaped lens 601 enclosing two different probes 602, 603 having mutually distinctive geometries. The lens 601 and the probes 602, 603 are connected to a flat ground plane 604. In some embodiments, instead of a flat ground plane 604 also a curved or otherwise shaped ground plane 604 can be used. Each of the probes 602, 603 extends from a coaxial connector 605, 606 which connector is also connected to said ground plane 604. The lens 601 is made of silicon in some examples. In some examples, the shortest probe 602 is configured to operate within a frequency band of 2.4 GHz, while the longest probe 603 is configured to operate within a frequency band of 5 GHz, which makes this compact antenna 600 well suitable to serve as dual-band Wi-Fi-antenna.

FIG. 7 shows a single-band antenna 700 that comprises a lens 701, and a reflective supershaped ground plane 702 connected to said lens 701, wherein the ground plane 702 is provided with a central hole 703 forming a slot or cavity between the lens 701 and a dielectric printed circuit board (PCB) 704 to which the ground plane 702 is attached. A rear side of the PCB 704 is provided with a electrically conductive microstrip 705. By connecting the ground plane 702 and the microstrip 705 to a power source, such as a battery 706, a static planar wave front will be formed between the microstrip 705 and the ground plane 702 which will wave front will enter the lens 701 via the central hole 703 and will turn into a spherical wave front within the lens 701. The electromagnetic radiation within the lens 701 will be internally reflected and excited in a controlled manner, dependent on the (super)shape of the lens 701 and eventually the supershape of the ground plane 702. This mechanism is also called a slot fed antenna.

FIG. 8 shows a single-band antenna 800 that comprises a supershaped lens 801, which lens 801 is connected to a laminate of an insulating layer 802 and an electrically conductive layer 803 acting as ground plane. The electrically conductive layer 803 provided with a central hole 804 through which a central probe 805 extends. An outer end of the probe 805 is connected to a conductive patch 806 which is positioned within the lens 801 and which is configured to couple electromagnetic into and/or out of the lens 801. The probe 805 is also connected to control circuit 807 including a processor. Both the probe 805 and the electrically conductive layer 803 are connected to an AC power source 808. The control circuit 807 is configured to be programmed by means of a computer interface 809 which allows a user to define the purpose of the antenna 800 (transmitting signals, receiving signals, or both) and further characteristics of the antenna 800 such as the frequency band which is used by the antenna 800. In some embodiments, this antenna can also be provided with multiple probes and patches in order to allow the antenna to operate simultaneously at different frequencies and/or different frequency bands.

FIG. 9 shows a single-band antenna 900 that comprises a supershaped dielectric resonator 901, which resonator 901 is connected to a laminate of a first insulating layer 902, an electrically conductive layer 903 acting as ground plane, a second insulating layer 904, and a microstrip 905. In some embodiments, the resonator 901 is made of PVC or Teflon® or a combination/mixture of polymer and ceramics. Within the resonator 901 and onto the first insulating layer 902 an electrically conductive patch 906 is provided. The patch 906 can either have a flat geometry or a supershaped geometry. The ground plane 903 is made of metal and/or an electrically conductive polymer and is provided with a central hole 907, and the microstrip 905 extends such that an outer end will be positioned in line with the patch 906. By connecting the microstrip 905 and the (intermediate) ground plane 903 to a power source 908 an electromagnetic planar wave front will be formed between the microstrip 905 and the ground plane 903 which will excite the patch 906 in such a manner that spherical wave front is propagated into the lens. The antenna 900 can make part of an electronic device 909, such as e.g. a router, a notebook, or a mobile phone.

FIG. 10 shows a MIMO-configured antenna system 1000 according to some embodiments of the invention, comprising multiple antennas 1001, 1002 according to the invention, wherein said antennas 1001, 1002 are configured to communicate with each other wirelessly in two directions. A first antenna 1001 comprises multiple probes 1003, 1004, 1005, wherein two probes 1003, 1004 have an identical geometry and are configured to operate within the same first frequency band, while the other probe 1005, having a different geometry, is configured to operate within another second frequency band. The probes 1003, 1004, 1005 are enclosed by a supershaped lens 1006 which is supported by a ground plate 1007. The probes make part of coaxial connectors 1008, 1009, 1010 which are connected to a control circuit (not shown). Use is made of two identical probes 1003, 1004, mutually positioned at sufficient distance from each other, in order to improve the communication and therefore reliability of this first antenna 1001. The other antenna 1002 comprises two probes 1011, 1012, wherein a first probe 1011 is configured to operate within the first frequency band, and the other probe 1012 is configured to operate within the second frequency band. The probes 1011, 1012 are enclosed by a supershaped lens 1013 which is supported by a ground plate (ground plane) 1014. The probes make part of coaxial connectors 1015, 1016 which are connected to a control circuit (not shown).

FIG. 11 shows a cross-section of a lens antenna 1100 according to some embodiments of the invention. The antenna 1100 comprises a reflective ground plane 1101 onto which a supershaped lens 1102 is positioned. The shape of the lens 1102 is comparable or even identical to the shape of the lens 302 as shown in FIG. 3. As shown, a circumferential wall 1103 comprises of four concave wall parts 1103 a, 1103 b, 1103 c, 1103 d connected to each other, as a result of which four corners 1104 a, 1104 b, 1104 c, 1104 d are defined. One of the concave wall parts 1103 a is provided with a selective corrugated profile. In some embodiments, the lens 1102 is made of a dielectric material. The antenna 1100 comprises two probes 1105, 1106, wherein each probe 1105, 1106 is positioned in a corner 1104, 1104 b of the lens 1102. The positioning of the probes 1105, 1106 is such that the probes are not in the line of sight of each other (simplified shown by the dashed line A). Electromagnetic radiation excited by a probe 1105, 1106 will be reflected (see arrows) by the wall parts 1103 a, 1103 b, 1103 c, 1103 d, and in particular by the intermediate corrugated wall parts 1103 a, in a direction away from the other probe 1105, 1106 so that mutual coupling and hence interference can be counteracted.

It will be apparent that the invention is not limited to the exemplary embodiments shown and described here, but that within the scope of the appended claims numerous variants are possible which will be self-evident to the skilled person in this field. In addition, it should be appreciated based on this disclosure that this invention has numerous embodiments including numerous inventive devices, components, aspects, methods, etc. In this document, references to the “the invention” are not intended to apply to all embodiments of the invention.

This summary is meant to provide an introduction to the concepts that are disclosed within the specification without being an exhaustive list of the many teachings and variations upon those teachings that are provided in the extended discussion within this disclosure. Thus, the contents of this summary should not be used to limit the scope of the claims that follow.

Inventive concepts are illustrated in a series of examples, some examples showing more than one inventive concept. Individual inventive concepts can be implemented without implementing all details provided in a particular example. It is not necessary to provide examples of every possible combination of the inventive concepts provide below as one of skill in the art will recognize that inventive concepts illustrated in various examples can be combined together in order to address a specific application.

Other systems, methods, features and advantages of the disclosed teachings will be or will become apparent to one with skill in the art upon examination of the following figures and detailed description. It is intended that all such additional systems, methods, features and advantages be included within the scope of and be protected by the accompanying claims.

The limitations in the claims (e.g., including that to be later added) are to be interpreted broadly based on the language employed in the claims and not limited to examples described in the present specification or during the prosecution of the application, which examples are to be construed as non-exclusive. For example, in the present disclosure, the term “preferably” is nonexclusive and means “preferably, but not limited to.” In this disclosure and during the prosecution of this application, means-plus-function or step-plus-function limitations will only be employed where for a specific claim limitation all of the following conditions are present in that limitation: a) “means for” or “step for” is expressly recited; b) a corresponding function is expressly recited; and c) structure, material or acts that support that structure are not recited. In this disclosure and during the prosecution of this application, the terminology “present invention” or “invention” can be used as a reference to one or more aspect within the present disclosure. The language present invention or invention should not be improperly interpreted as an identification of criticality, should not be improperly interpreted as applying across all aspects or embodiments (i.e., it should be understood that the present invention has a number of aspects and embodiments), and should not be improperly interpreted as limiting the scope of the application or claims. In this disclosure and during the prosecution of this application, the terminology “embodiment” can be used to describe any aspect, feature, process or step, any combination thereof, and/or any portion thereof, etc. In some examples, various embodiments can include overlapping features. In this disclosure, the following abbreviated terminology can be employed: “e.g.” which means “for example.” 

1. Antenna, comprising: at least one electromagnetic lens, at least one ground plane connected to said lens, and at least one probing structure connected to said lens, wherein at least one of the at least one electromagnetic lens and the at least one ground plane having at least one base profile is substantially supershaped, wherein said supershaped base profile is defined by the polar function: ${\rho_{d}(\phi)} = \frac{1}{n_{1}\sqrt{{{\frac{1}{a}\cos \frac{\; m_{1}}{4}\phi}}^{n_{2}} + {/{- {{\frac{1}{b}\sin \; \frac{m_{2}}{4}\phi}}^{n_{3}}}}}}$ a , b ∈ + ; m 1 , m 2 , n 1 , n 2 ∈ , a , b , n 1 ≠ 0 and wherein: ρ_(d)(φ) is a curve located in the XY-plane; and φ∈[0, 2π) is the angular coordinate.
 2. Antenna according to claim 1, wherein the parametric representation of the three-dimensional shape of the lens and/or the ground plane is based on two perpendicular cross sections ρ₁(σ) and ρ₂(φ): $\begin{bmatrix} {x = {{\rho_{1}(\vartheta)}\cos \; {\vartheta \cdot {\rho_{2}(\phi)}}\cos \; \phi}} \\ {y = {{\rho_{1}(\vartheta)}\sin \; {\vartheta \cdot {\rho_{2}(\phi)}}\cos \; \phi}} \\ {z = {{\rho_{2}(\phi)}\sin \; \phi}} \end{bmatrix}$ wherein: ρ is defined by the function presented in claims 1, 0≦σ≦2π, and −½π≦φ≦½π.
 3. Antenna according to one of the foregoing claims, wherein m≧4.
 4. Antenna according to one of the foregoing claims, wherein a≠b.
 5. Antenna according to one of the foregoing claims, wherein at least one value of n_(x), n_(y), and n₀ deviates from
 2. 6. Antenna according to one of the foregoing claims, wherein the substantially supershaped base profile is a base profile of the lens which extends in a direction which is substantially parallel to a plane defined by the ground plane.
 7. Antenna according to one of the foregoing claims, wherein the probing structure is configured to receive electromagnetic radiation.
 8. Antenna according to one of the foregoing claims, wherein the probing structure is configured to transmit electromagnetic radiation.
 9. Antenna according to one of the foregoing claims, wherein the probing structure comprises at least one probe.
 10. Antenna according to claim 9, wherein the probing structure comprises multiple probes.
 11. Antenna according to claim 10, wherein the geometry of at least two probes is mutually different.
 12. Antenna according to one of claims 9-11, wherein the at least one probe is at least partially enclosed by the lens.
 13. Antenna according to one claims 9-12, wherein at least one probe is configured to operate in the 5 GHz frequency band, wherein the length of said probe is between 4 and 8 mm.
 14. Antenna according to one claims 9-13, wherein at least one probe is configured to operate in the 2.4 GHz frequency band, wherein the length of said probe is between 10 and 18 mm.
 15. Antenna according to one of claims 9-14, wherein the diameter of at least one probe is situated between 1 and 3 mm.
 16. Antenna according to one of claims 10-15, wherein the mutual orientation of at least two probes is such that said probes are positioned at least partially out of the electromagnetic line of sight of each other.
 17. Antenna according to claim 16, wherein the antenna comprises at least two transmitting probes, wherein the electromagnetic radiation transmitted by at least one probe is at least partially reflected away from the at least one other probe.
 18. Antenna according to claim 17, wherein the antenna comprises at least two transmitting probes, wherein the electromagnetic radiation transmitted by at least one probe is at least partially reflected by at least one circumferential wall of the lens in a direction away from the at least one other probe.
 19. Antenna according to one of the foregoing claims, wherein at least a part of at least one circumferential wall of the lens has a concave shape.
 20. Antenna according to one of the foregoing claims, wherein at least one antenna probe is positioned at or near to a sharp edge of the lens.
 21. Antenna according to one of the foregoing claims, wherein the lens is provided with at least one accommodating space for accommodating at least one probe of the probing structure.
 22. Antenna according to one of the foregoing claims, wherein the ground plane is provided with at least one accommodating space for accommodating at least one probe of the probing structure.
 23. Antenna according to claim 21 or 22, wherein the antenna comprises multiple accommodating spaces, wherein each accommodating space is configured to accommodate at least one probe.
 24. Antenna according to claim 23, wherein the mutual orientation of at least two of the multiple accommodating spaces is such that said accommodating spaces are positioned out of the electromagnetic line of sight of each of other.
 25. Antenna according to one of the foregoing claims, wherein the height of the lens is smaller than or equal to 5 cm.
 26. Antenna according to one of the foregoing claims, wherein the lens is at least partially made of a dielectric material.
 27. Antenna according to claim 26, wherein the dielectric material has a dielectric constant of between 2 and
 90. 28. Antenna according to claim 26 or 27, wherein the lens is at least partially made of at least one ceramic.
 29. Antenna according to one of claims 26-28, wherein the lens is at least partially made of glass, crystal, and/or at least one polymer, in particular polyvinylchloride (PVC).
 30. Antenna according to claim 29, wherein the lens comprises a shell which is at least partially made of at least one glass, crystal, and/or at least one polymer enclosing at least one inner space which is at least partially filled with a fluid, preferably air or demineralised water.
 31. Antenna according to one of the foregoing claims, wherein the lens is a dielectric resonator.
 32. Antenna according to one of the foregoing claims, wherein the lens and/or the ground plane is substantially prism shaped.
 33. Antenna according to one of the foregoing claims, wherein a surface of the ground plane directed towards the lens is at least partially reflective.
 34. Antenna according to one of the foregoing claims, wherein the ground plane is at least partially made of an electrically conductive material.
 35. Antenna according to one of the foregoing claims, wherein the probing structure is connected to the ground plane.
 36. Antenna according to any of the foregoing claims, wherein the lens has a refractive index n, wherein n≠1.
 37. Antenna according to any of the foregoing claims, wherein the probing structure comprises at least one first probe configured to communicate in a first frequency band, and at least one second probe configured to communicate in a second frequency band.
 38. Antenna according to claim 37, wherein the probing structure comprises multiple first probes and multiple second probes.
 39. Antenna according to one of the foregoing claims, wherein the antenna comprises at least one processor to automatically switch the probing structure between a radiation transmitting mode and a radiation receiving mode for two-way communication of the probing structure.
 40. Antenna according to claim 37 or 38, and claim 39, wherein the processor is configured to automatically switch between the first frequency band and the second frequency band for two-way communication in each frequency band.
 41. Antenna according to any of the foregoing claims, wherein at least a part of a circumferential wall is corrugated.
 42. Antenna system for transmitting and receiving electromagnetic signals comprising at least one antenna according to any of the foregoing claims.
 43. Antenna system according to claim 42, wherein the antenna system comprises a plurality of MIMO-configured antennas according to claim 37 or
 38. 44. Antenna system according to claim 43, wherein the system comprises at least two dual-band antennas, and at least one processor for switching in at least one of the two frequency bands, so ensuring diversity of reception and transmission of the signals in this band.
 45. Antenna system according to claim 44, wherein the switching means is a DPDT switch or SPDT switch.
 46. Antenna system according to claim 44 or 45, comprising at least one interface means for programming the at least one processor.
 47. Method of manufacturing an antenna according to any of claims 1-41, comprising: A) designing at least one ground plane and/or at least one lens such that the ground plane and/or the lens has at least one base profile which is substantially supershaped, said supershape defined by the polar function: ${\rho_{d}(\phi)} = \frac{1}{n_{1}\sqrt{{{\frac{1}{a}\cos \frac{\; m_{1}}{4}\phi}}^{n_{2}} + {/{- {{\frac{1}{b}\sin \; \frac{m_{2}}{4}\phi}}^{n_{3}}}}}}$ a , b ∈ + ; m 1 , m 2 , n 1 , n 2 ∈ , a , b , n 1 ≠ 0 and wherein: ρ_(d)(φ) is a curve located in the XY-plane; φ∈[0, 2π) is the angular coordinate; and B) assembling the ground plane, the lens, and the probing structure, said probing structure comprising at least one probe.
 48. Method according to claim 46, wherein during step B) multiple probes are connected to the ground plane and/or the lens.
 49. Method according to claim 48, wherein at least one probe is configured to communicate in a first frequency band and at least one other probe is configured to communicate in a second frequency band.
 50. Method according to claim 49, wherein the different probes are oriented such that, during operation, different sectors of the lens will be excited.
 51. Method according to any of claims 47-50, wherein the lens is at least partially made of a dielectric material chosen from the group consisting of: crystal, glass, ceramics, polymer, and demineralised water.
 52. Method according to claim 51, wherein the polymeric lens is made by 3D printing.
 53. Method for use in wireless communications by using an antenna according to any of claims 1-41, the method comprising the step of connecting a communication circuit to an antenna network, the network comprising a plurality of antennas according to any of claims 1-41, each antenna optimized for operation in at least one designated frequency band.
 54. Method according to claim 53, wherein the communication circuit comprises a transmitter.
 55. Method according to claim 53 or 54, wherein the communication circuit comprises a receiver.
 56. Method according to any of claims 53-55, wherein the communication circuit comprises a transceiver.
 57. Method according to any of claims 53-56, wherein each antenna is optimized for operation in multiple frequency bands.
 58. Method according to any of claims 53-57, wherein each of the plurality of designated frequency bands comprises a single frequency.
 59. Method according to any of claims 53-58 wherein the plurality of antennas are connected in parallel.
 60. Method of any one of claims 53-59, wherein the plurality of antennas are connected in series.
 61. Lens as used in an antenna according to one of claims 1-41.
 62. Ground plane as used in an antenna according to one of claims 1-41.
 63. RF transceiver of a wireless communications device comprising at least one antenna according to any of claims 1-41.
 64. Electronic device comprising an RF transceiver according to claim
 63. 